3w+6=8w+12

Solution for 3w+6=8w+12 equation:

Simplifying
3w + 6 = 8w + 12

Reorder the terms:
6 + 3w = 8w + 12

Reorder the terms:
6 + 3w = 12 + 8w

Solving
6 + 3w = 12 + 8w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-8w' to each side of the equation.
6 + 3w + -8w = 12 + 8w + -8w

Combine like terms: 3w + -8w = -5w
6 + -5w = 12 + 8w + -8w

Combine like terms: 8w + -8w = 0
6 + -5w = 12 + 0
6 + -5w = 12

Add '-6' to each side of the equation.
6 + -6 + -5w = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -5w = 12 + -6
-5w = 12 + -6

Combine like terms: 12 + -6 = 6
-5w = 6

Divide each side by '-5'.
w = -1.2

Simplifying
w = -1.2